Solve x=17(6x/5)/10-14

$$x= \frac{ 17( \frac{ 6x }{ 5 } ) }{ 10 } -14$$

Solve for x

$$x = \frac{175}{13} = 13\frac{6}{13} \approx 13.461538462$$

Steps for Solving Linear Equation

Express 17\times \frac{6x}{5} as a single fraction.

$$x=\frac{\frac{17\times 6x}{5}}{10}-14$$

Multiply 17 and 6 to get 102.

$$x=\frac{\frac{102x}{5}}{10}-14$$

Subtract \frac{\frac{102x}{5}}{10} from both sides.

$$x-\frac{\frac{102x}{5}}{10}=-14$$

Multiply both sides of the equation by 10.

$$10x-\frac{102x}{5}=-140$$

Multiply both sides of the equation by 5.

$$50x-102x=-700$$

Combine 50x and -102x to get -52x.

$$-52x=-700$$

Divide both sides by -52.

$$x=\frac{-700}{-52}$$

Reduce the fraction \frac{-700}{-52} to lowest terms by extracting and canceling out -4.

$$x=\frac{175}{13}$$